notation
a technical system of symbols used to represent special things
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
recalled by Codex without web access - no source was read
Researched by: Codex
Purpose and description
Enable an agent to recognise a notation, interpret its symbols under the applicable conventions, assess ambiguity and compatibility, and decide whether to read, write, validate or translate an expression.
A notation is a conventional system of symbols and rules for combining and interpreting them to represent objects, quantities, relations, operations, or other domain-specific content.
It can be Identify candidate notations and variants from diagnostic symbols and arrangements.; Resolve symbol meanings using the applicable conventions and declarations.; Construct or validate expressions against the notation's documented rules.; Detect ambiguity, missing context and presentation changes that could alter meaning.; Translate expressions while recording unsupported constructs and lost distinctions.; Compare variants and determine whether an expression can be reused under another convention..
Distinguishing features
An instance qualifies as a notation when symbols have repeatable conventions for representing specialised referents; a decorative mark alone does not qualify.
A notated expression uses a notation but is not the symbol system itself: changing an expression's content need not change the notation.
A change of font or carrier preserves the notation when it preserves all meaningful distinctions; a change that alters those distinctions requires separate assessment.
An inventory of signs is insufficient to establish a notation unless their representational roles and applicable usage conventions can be identified.
Musical notation adds rules for representing musical content to this broader model; notation in general does not require pitch, duration or performance instructions.
Scope
+ The specialised things, properties or relations the notation represents
+ Symbol repertoires and distinctions between symbols and their rendered forms
+ Rules for composing symbols through sequence, grouping, position or other meaningful presentation
+ Interpretation conventions, contextual dependencies and ambiguity
+ Notation variants, compatibility boundaries and translation limits
- The represented entities and their domain-specific behaviour
- Individual works or expressions written using the notation
- Physical inscriptions, files and other carriers of notated content
- General-purpose writing systems except where their signs serve specialised notational roles
- Music-specific constructs owned by the musical notation model
- Editors, fonts, rendering engines and recognition tools as independently managed products
Characteristics
- Representational domain
- Links to the kinds of entities, properties, operations or relations represented Sets the limits within which an agent can interpret expressions.
- Symbol repertoire policy
- Closed repertoire; extensible by explicit rules; locally declared; mixed; unresolved Determines whether an unfamiliar sign is invalid, an extension or a declaration-dependent symbol.
- Meaning-bearing presentation
- Multiple selections: order, grouping, position, shape, orientation, size, colour, connecting lines, other specified features Identifies features that must survive rendering, transcription and conversion.
- Rule explicitness
- Explicitly specified; established by examples and practice; mixed; unresolved Limits how confidently an agent can automate interpretation or validation.
- Interpretation dependencies
- Required legends, declarations, surrounding expressions, domain conventions and variant identifiers Makes missing context visible before an agent assigns meaning.
- Ambiguity under declared context
- Unique interpretation established; multiple interpretations identified; insufficient context; not assessed Controls whether the agent can act on one reading or must preserve alternatives.
- Notation variant
- Links to a named edition, dialect, institutional convention or documented local variant Prevents rules from incompatible conventions being combined silently.
- Translation fidelity
- For a specified target and expression class: meaning preserved; conditionally preserved; lossy; unavailable; unassessed Determines whether converted expressions remain suitable for their intended use.
Analytical facets
- substance
- information
- origin
- conceptual
- agency
- inert
- mobility
- not-applicable
- scale
- not-applicable
- affordances
- readable
Also called
+56
Where this came from
oewn:2024 · CC BY 4.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 6 bundles · 11 layers · 17 findings · 27 questions.
Representational contract Establishes what the notation represents and the conventions under which representation is meaningful.
An agent needs to distinguish meaningful use of the notation from visually similar marks or uses outside its domain.
Domain and expressiveness
Identifies the representable content and the limits of the notation.
Representable distinctions
Record which specialised entities and relationships can be expressed, including distinctions the notation cannot capture.
- What kinds of things, properties and relationships does this notation represent? definition
- Which distinctions in the represented domain cannot be expressed without supplementary explanation? boundary
Convention boundaries
Separates the shared notation from local usage and domain-specific specialisations.
Shared and specialised rules
Record the evidence for a shared representational convention and identify additions belonging to a narrower notation model.
- Which specification, reference or documented practice establishes the conventions used here? provenance
- Which rules belong to this notation generally, and which belong to a specialisation such as musical notation? boundary
Symbols and presentation Describes the signs available and the presentation features that distinguish them.
Notation can lose meaning when an agent confuses symbol identity with appearance or discards significant layout.
Symbol repertoire
Identifies symbols, permitted variants and mechanisms for introducing additional signs.
Symbol identity and extension
Record how symbols are recognised, which alternate forms are equivalent and how new symbols become valid.
- Which marks count as distinct symbols, and which rendered forms are accepted as the same symbol? definition
- How may a user introduce a new symbol, and what declaration or legend must accompany it? action
Significant presentation
Identifies visual or spatial properties that participate in representation.
Presentation invariants
Record which presentation changes preserve interpretation and which alter or obscure a meaningful distinction.
- Which differences in position, orientation, size, colour, spacing or connectivity change interpretation? boundary
- What must an agent preserve when resizing, rendering or transcribing an expression? action
Expression composition Captures the rules by which signs form recognisable notated expressions.
Recognising individual signs is insufficient when grouping, arrangement or scope changes the expression they form.
Formation rules
Describes permitted combinations and structural relationships.
Well-formed expressions
Record formation conventions, including sequence or spatial structure, without presuming that a complete formal grammar exists.
- What rules or accepted examples determine whether a combination of symbols is well formed? definition
- Which formation rules are explicitly documented, and which depend on practitioner judgement? provenance
Grouping and scope
Explains how parts of an expression are associated and how far a sign's effect extends.
Structural reading
Record applicable grouping, precedence, attachment, reading-order and scope conventions.
- How are reading order, grouping, attachment and scope established where they apply? definition
- When more than one structural reading is possible, what evidence permits an agent to select one? action
Meaning and interpretation Relates notated forms to their referents and records the context needed to interpret them.
A structurally valid expression may still be ambiguous, undefined or uninterpretable in its current context.
Semantic conventions
Describes the interpretation of symbols and combinations.
Form-to-meaning mapping
Record how symbol meanings and composition conventions determine interpretation, including overloaded and context-dependent uses.
- How are meanings assigned to individual symbols and to their combinations? definition
- Under what conditions can the same symbol or arrangement carry different meanings? boundary
Context and ambiguity
Identifies interpretation dependencies and unresolved readings.
Interpretation readiness
Record required contextual information, remaining alternative readings and the basis for resolving them.
- Which legends, declarations, surrounding expressions or domain assumptions are required to interpret this expression? definition
- What missing information must an agent obtain before selecting a reading or acting on the expression? action
Variants and interchange Tracks differences between conventions and the preservation of meaning across transformations.
An expression may remain visually familiar while changing meaning across notation variants or conversion targets.
Variant compatibility
Identifies applicable variants and the consequences of switching between them.
Convention change effects
Record changes to symbol meanings, formation rules and accepted forms between documented variants.
- Which evidence identifies the edition, dialect or local convention governing an expression? provenance
- Which expressions become invalid or acquire a different reading when moved to another variant? boundary
Translation and transcription
Assesses preservation of notational distinctions when expressions are converted.
Conversion fidelity
Record mappings to other notations or encodings, their supported expression classes and any lost distinctions.
- Which source distinctions have no equivalent in the proposed target notation or encoding? boundary
- How should an agent verify that conversion preserves the intended interpretation and report any loss? action
Evidence and external alignment What the world already says about this thing, gathered so the model can be checked against it.
A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.
Reported evidence
Findings from the breadth pass, kept separate from the structural claims.
Check these first
Recalled without web access and unsourced; every item is a lead to verify.
- This is recall-based coverage; no sources were consulted.
- The listed standards govern particular notations or symbol conventions, not notation as a universal category.
- There is no single general identifier scheme or measurement scale supplied here; identifiers, evaluation measures, and applicable standards depend on the specific notation.
- Which of these check these first hold for the sense of notation this model covers, and on what evidence? provenance
Kinds and varieties
Recalled without web access and unsourced; every item is a lead to verify.
- Mathematical notation
- Musical notation
- Chemical notation
- Logical notation
- Phonetic notation
- Engineering diagram notation
- Which of these kinds and varieties hold for the sense of notation this model covers, and on what evidence? provenance
Standards and regulation
Recalled without web access and unsourced; every item is a lead to verify.
- ISO 80000 series, Quantities and units: specifies quantity and unit conventions, including symbols, with related parts issued by IEC.
- International Phonetic Alphabet, maintained by the International Phonetic Association: establishes symbols and conventions for phonetic transcription.
- Unified Modeling Language (UML), standardized by the Object Management Group: defines modeling constructs and their graphical notation.
- Business Process Model and Notation (BPMN), standardized by the Object Management Group: defines notation and semantics for business process models.
- Which of these standards and regulation hold for the sense of notation this model covers, and on what evidence? provenance
Real-world use
Recalled without web access and unsourced; every item is a lead to verify.
- Expressing mathematical relationships, calculations, and proofs.
- Recording musical pitch, rhythm, and performance instructions.
- Representing chemical composition, molecular structure, and reactions.
- Transcribing speech sounds for linguistic analysis and language teaching.
- Communicating engineering designs, software models, and business processes.
- Which of these real-world use hold for the sense of notation this model covers, and on what evidence? provenance
Failure modes and hazards
Recalled without web access and unsourced; every item is a lead to verify.
- A symbol has multiple meanings and its intended interpretation is not stated.
- Different communities use incompatible conventions for the same subject.
- Loss of typography, spatial arrangement, or diacritics changes meaning.
- Transcription or rendering errors substitute, omit, or obscure meaningful symbols.
- An expression follows the notation's formation rules but represents an incorrect domain claim.
- Which of these failure modes and hazards hold for the sense of notation this model covers, and on what evidence? provenance
Regional variation
Recalled without web access and unsourced; every item is a lead to verify.
- Decimal separators and digit-grouping conventions vary across locales and affect numerical notation.
- Musical pitch naming varies among letter-name and solfège traditions; German usage distinguishes H and B differently from English usage.
- Which of these regional variation hold for the sense of notation this model covers, and on what evidence? provenance
Neighbouring kinds and how to tell them apart
Recalled without web access and unsourced; every item is a lead to verify.
- musical notation - A specialization of notation for representing musical content, with conventions for features such as pitch, duration, and performance.
- symbol - A symbol is an individual representational element; a notation supplies a system of elements and conventions for using them.
- formal language - A formal language specifies admissible expressions through explicit formation rules; a notation need not be fully formalized.
- character encoding - A character encoding maps characters to machine representations; a notation governs their domain-specific representational use and may also depend on spatial layout.
- nomenclature - Nomenclature governs names for entities; notation also represents relationships, operations, and structured expressions.
- inscription - An inscription is a particular recorded instance; a notation is the conventional system that instance uses.
- Which of these neighbouring kinds and how to tell them apart hold for the sense of notation this model covers, and on what evidence? provenance
What the second pass must settle
- Which existing Vercy world model, if any, already owns notation and should be linked as the single source of truth?
- Where should the registry place the boundary between notation, a specialised symbolic language and a code whose primary purpose is encoding?
- Which researched examples establish whether the model needs explicit support for tactile or other nonvisual symbol systems?
- What evidence is sufficient to recognise a local convention as a notation variant rather than an isolated annotation practice?
- Which interpretation and compatibility requirements can musical notation inherit directly, and which require music-specific extensions?